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197993656 = 237107173191
BaseRepresentation
bin10111100110100…
…10010010111000
3111210120010020101
423303102102320
5401141244111
631351405144
74622626660
oct1363222270
9453503211
10197993656
11a1842623
12563837b4
1332034013
141c41d1a0
15125aebc1
hexbcd24b8

197993656 has 64 divisors (see below), whose sum is σ = 432967680. Its totient is φ = 83137920.

The previous prime is 197993647. The next prime is 197993659. The reversal of 197993656 is 656399791.

197993656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 197993597 and 197993606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (197993659) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1036521 + ... + 1036711.

It is an arithmetic number, because the mean of its divisors is an integer number (6765120).

Almost surely, 2197993656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 197993656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216483840).

197993656 is an abundant number, since it is smaller than the sum of its proper divisors (234974024).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

197993656 is a wasteful number, since it uses less digits than its factorization.

197993656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 480 counting only the distinct ones).

The product of its digits is 2755620, while the sum is 55.

The square root of 197993656 is about 14071.0218534405. The cubic root of 197993656 is about 582.8414433671.

The spelling of 197993656 in words is "one hundred ninety-seven million, nine hundred ninety-three thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 14 28 56 107 173 191 214 346 382 428 692 749 764 856 1211 1337 1384 1498 1528 2422 2674 2996 4844 5348 5992 9688 10696 18511 20437 33043 37022 40874 66086 74044 81748 129577 132172 143059 148088 163496 231301 259154 264344 286118 462602 518308 572236 925204 1036616 1144472 1850408 3535601 7071202 14142404 24749207 28284808 49498414 98996828 197993656